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Paper   IPM / Nano-Sciences / 8419
School of Nano Science
  Title:   Force sum rules for stepped surface of jellium
  Author(s):  Mani Farjam
  Status:   Published
  Journal: Solid State Commun.
  No.:  9
  Vol.:  141
  Year:  2007
  Pages:   4
  Publisher(s):   The American Physical Society
  Supported by:  IPM
The Budd Vannimenus theorem for jellium surface is generalized for stepped surfaces of jellium. Our sum rules show that the average value of the electrostatic potential over the stepped jellium surface equals the value of the potential at the corresponding flat jellium surface. Several sum rules are tested with numerical results obtained within the Thomas Fermi model of stepped surfaces.

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